Universal and nonuniversal features in shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability

Younghae Do, Ying-Cheng Lai, Zonghua Liu, Eric Kostelich

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

The universal and nonuniversal features in the shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability were discussed. As such, the result provided a more detailed understanding of the fundamental problem of shadowing in terms of statistical characterizations. The theoretical treatment show that the shadowing problem shares the same dynamical mechanism as that for on-off intermittency under noise.

Original languageEnglish (US)
Article number035202
Pages (from-to)035202/1-035202/4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number3 2
StatePublished - Mar 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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